 Hi and welcome to the session. I am Shashi and I am going to help you with the following question. Question is, using elementary transformations, find the inverse of each of the matrices. If it exists, the given matrix is 3, 10, 2, 7. Let us now start with the solution. First of all, let us assume A is equal to matrix given in the question that is matrix 3, 10, 2, 7. Now, to find the inverse by row transformation method, we will write A is equal to I where I is the identity matrix or we can write matrix 3, 10, 2, 7 is equal to matrix 1, 0, 0, 1 multiplied by A. Now, we will apply sequence of row operations simultaneously on A matrix on left hand side and the matrix I on the right hand side. Here we obtain identity matrix on the left hand side. Now, to make this element equal to 1, we will apply on R1 row operation 1 upon 3 R1. So, we can write applying on R1 row operation 1 upon 3 R1 we get matrix 1, 10 upon 3, 2, 7 is equal to matrix 1 upon 3, 0, 0, 1 multiplied by A. Now, to make this element equal to 0, we will apply on R2 row operation R2 minus 2 R1. So, we can write applying on R2 row operation R2 minus 2 R1 we get matrix 1, 10 upon 3, 0, 1 upon 3 is equal to matrix 1 upon 3 R1. 1 upon 3, 0 minus 2 upon 3, 1 multiplied by A. Now, to make this element equal to 1, we will apply on R2 row operation 3 R2. So, we can write applying on R2 row operation 3 R2 we get matrix 1, 10 upon 3, 0, 1 is equal to matrix 1 upon 3, 0 minus 2, 3 multiplied by A. Now, to make this element equal to 0, we will apply on R1 row operation R1 minus 10 upon 3 R2. So, we can write applying R1 row operation R1 minus 10 upon 3 R2 we get matrix 1, 0, 0, 1 is equal to matrix 7 minus 10 minus 2, 3 multiplied by A. Now, also we can write identity matrix is equal to A inverse multiplied by A. Now, this is an identity matrix of the order 2 into 2. So, clearly comparing these two expressions we get A inverse is equal to matrix 7 minus 10 minus 2, 3. So, the required inverse is given by the matrix 7 minus 10 minus 2, 3. This completes the session. Hope you understood the session. Goodbye.